Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales

Yibing Sun, Zhenlai Han, Shurong Sun and Chao Zhang

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

By using the Riccati transformation technique and constructing a class of Philos-type functions on time scales, we establish some new interval oscillation criteria for the second-order damped nonlinear dynamic equations with forced term of the form on a time scale which is unbounded, where is a quotient of odd positive integer. Our results in this paper extend and improve some known results. Some examples are given here to illustrate our main results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:359240

DOI: 10.1155/2013/359240

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